Drawing systems - People | MIT CSAILpeople.csail.mit.edu/fredo/Depiction/15_Drawing/drawing6.pdf–...
Transcript of Drawing systems - People | MIT CSAILpeople.csail.mit.edu/fredo/Depiction/15_Drawing/drawing6.pdf–...
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The Art and Science of Depiction
Fredo DurandMIT- Lab for Computer Science
Drawing systems
Drawing systems 2
Drawing systems 3
Assignments for Monday 30.• Solso Cognition and the Visual Arts
– Chapter 8 & 9
• Final project– Firm subject
Drawing systems 4
Plan• Drawing and projection
– Linear perspective & the Renaissance
– Drawing systemsCatalogue of “all” drawing systems
Advantage/disadvantages
– Distortion and constraints
• Denotation
• Tone & color
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Issues• Place of the spectator
• Intrinsic/extrinsic (essential/accidental)
• Unified space
• Shape representation
• Error/distortion/choice
• Child development
• No cultural judgment!
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Context• Importance of the notion of front/top/side
• Presence of lines and planes or not
• Orthogonals– Lines orthogonal to the picture plane
– I.e. lines that converge in the center of the image in central perspective
• Picture plane/curved picture
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Efficient shape representation• True shape
• 3D layout
• Canonical view
• General/accidental view
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Generic vs. accidental viewpoint
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Generic vs. accidental viewpoint• Accidental alignment
of trash and sea
Snapshot-Perspective-Speed, aperture -Filter-Lighting-Processing & Print-Make up-Retouching
PhotoPeter Turner
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Generic vs. accidental viewpoint
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Canonical view• Rate views
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Canonical view• Rate views
• Features must be salient
• General view
• Front view
• ¾ up view
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Invariants• Invariants
– Alignments
– Angles
– Shape
– Symmetry
• Property mapping
• Each system here assumes a unified space. Can be mixed up though
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3D and 2D attributes• Show a dice to children (~6-7)
• They usually draw a rectangle
• The rectangle can stand for one face
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3D and 2D attributes• Show colored or numbered dice to children (6-7)
• The still draw a rectangle
• But different colors or many points
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3D and 2D attributes• Show colored or numbered dice to children (6-7)
• The still draw a rectangle
• But different colors or many points
• The rectangle stands for the whole dice
• The notion of 3D object with corners is translated as a 2D object with corners
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Evolution of children’s drawings• Asked to draw a table
Child’s view
7.4 9.7
11.9 13.6
14.3 13.7
Class of drawing & average age
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Primary/secondary geometry• Primary geometry
– Description in 3D object-space
• Secondary geometry– Description in 2D image-space
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Primary/secondary geometry• Primary geometry
– Description in 3D object-space
• Secondary geometry– Description in 2D image-space– Permits the description of more drawing systems
– Often better corresponds to the drawing approach
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British standard classification• Primary
geometry
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Willats’s classification• Secondary
geometry
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Classification of drawing systems• Linear
– Parallel
– Linear perspective
– Divergent perspective
• Non Linear– Quasi linear
– Curved projections
– Topological– Split views, fold-out
– Multiple viewpoints
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Classification of drawing systems• Linear
– Parallel• Orthogonal• Fold-out oblique
– Horizontal oblique
– Vertical oblique• Orthographic
– Isometric– Others
• Non orthogonal– Oblique– Axonometric
– Linear perspective• One point• Two points• Three points
– Divergent perspective
• Non Linear– Quasi linear
• Naïve perspective• Expressionist perspective
• Importance-driven
• Cell panorama
– Curved projections• Panorama• Fish-eye
– Topological
– Split views, fold-out
– Multiple viewpoints
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Linear projections• Straight lines and alignments are preserved• Can be expressed in primary geometry
– Ray-image intersections– A matrix
• Parallel
• Linear perspective
• Divergent perspective
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Parallel projections• No foreshortening
• Can represent true shape
• Some are poor shape representations
• Projection direction – Orthogonal to image plane or not
– Along one principal direction or not
• “Stretching” or not
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Parallel projections• Orthogonal
• Fold-out oblique– Horizontal oblique
– Vertical oblique
• Non orthogonal– Oblique
– Axonometric
• Orthographic– Isometric
– Others
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Orthogonal• Direction
– Perpendicular to image plane
– Along one principal direction
• True shape for objects parallel to image plane
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Orthogonal• Direction
– Perpendicular to image plane
– Along one principal direction
• True shape for objects parallel to image plane
• Typically engineering
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Orthogonal• Amphora, 6 th century BC
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Orthogonal• Bayeux Tapestry 1080
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Orthogonal• Telephoto
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Orthogonal• Child drawing
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Parallel projections• Orthogonal
• Fold-out oblique– Horizontal oblique
– Vertical oblique
• Non orthogonal– Oblique
– Axonometric
• Orthographic– Isometric
– OthersDrawing systems 34
Fold-out oblique• Horizontal oblique
• Vertical oblique
• Direction– 45º, parallel to one principal face (top or side)
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Fold-out oblique• Horizontal oblique
• Vertical oblique
• Direction– 45º, parallel to one principal face (top or side)
• Can be stretched for fold-out– True shape for 2 directions
• Mainly interesting for secondary geometry
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Horizontal oblique• Folk art
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Horizontal oblique• Icons
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Horizontal oblique• Child drawing
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Horizontal oblique• Cézanne Still life with a commode, 1887
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Pushing the envelope
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Vertical oblique• Soriguerola, 13th
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Vertical oblique• Soriguerola, 13th
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Vertical oblique• Juan Gris,
Breakfast, 1914
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Vertical oblique
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Vertical oblique• Indian art, 1660
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Vertical oblique• Claude Rogers, The Hornby Train, 1951-53
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Vertical oblique• Andre Kerstesz,
Tulipe Melancolique
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Pushing the envelope
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Pushing the envelope• Non-linear
• Locally linear
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Parallel projections• Orthogonal
• Fold-out oblique– Horizontal oblique
– Vertical oblique
• Non orthogonal– Oblique
– Axonometric
• Orthographic– Isometric
– Others
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Non orthogonal• Direction
– non orthogonal to picture plane
• Oblique– Picture plane parallel to front– True shape for front face
• Axonometric– True shape for top face– True distance for up direction
– Direction 45º of the picture plane
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Oblique– Picture plane parallel to front
– True shape for front face
– Can use true distance for 3rd direction
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Oblique• Henry Lapp, 19th century
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Oblique• Lady Wenji’s Return to China, 12th century
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Oblique
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Oblique• Phoenix and Achilles,
350-340 BC
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Axonometric• Axonometric
– True shape for top face
– True distance for up direction
– Direction 45º of the picture plane
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Axonometric• Le Corbusier was a big fan
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Axonometric• James Stirling, 1953
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Axonometric• Juan Gris,
Breakfast, 1914
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Parallel projections• Orthogonal
• Fold-out oblique– Horizontal oblique
– Vertical oblique
• Non orthogonal– Oblique
– Axonometric
• Orthographic– Isometric
– OthersDrawing systems 62
Orthographic• Direction
– Orthogonal to picture plane
– Along no principal direction
• Isometric– Direction along the average of the principal directions
– True distances along 3 directions
• Others– Generic orthographic
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Isometric
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Isometric• Brooks-Greaves
St Paul's Cathedral 1928
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Isometric vs. Axonometric• Isometric
– No true shape
– True distances in 3 directions
– Little distortion
– Direction average 2 principaldirections
• Axonometric– True shape for top face
– True distance for up direction
– Direction 45º from picture plane
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General Orthographic• Seldom used!
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Mixed parallel system• Persian miniature, 1494
• Oblique+vertical oblique
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Classification of drawing systems• Linear
– Parallel
– Linear perspective
– Divergent perspective
• Non Linear– Quasi linear
– Curved projections
– Topological– Split views, fold-out
– Multiple viewpoints
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Linear perspective• Foreshortening
• The spectator is “immersed”
• Potential distortions
• One point
• Two points
• Three points
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1-point perspective• Central focus
• Preserves horizontals and verticals
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1-point perspective• Central focus
• Preserves horizontals and verticals
• Can mean that the optical center is not the center of the image– View-camera
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1-point perspective• Jean Vredeman de Vries,1604
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1-point perspective• Unknown artist Ideal city, 15th
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1-point• Interior of
St Bavo's churchat Haarlem, Pieter Jansz Saenredam, 1648
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1-point perspectiveThe Avenue Middelharnis, Meindert Obbema 1689
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1-point perspectiveWestern perspective in a Japanese picture
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2-point perspective
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2-point perspective• Objects stand out of the picture
• Preserves verticals
• Can mean that the optical center is not the center of the image– Architecture lens
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Old assignment• Before: 3-point perspective
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Old assignment• After: 2-point perspective
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3-point perspective
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3-point perspective• Dramatic 3D effect
• The generic case, nothing preserved
• seldom used through art history
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Perspective anomaly and expression• Giorgio de Chirico,
Mystery and Melancholy of a Street, 1914
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Perspective anomaly and expression• Giorgio de Chirico
Les Muses Inquietantes1925
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Perspective distortion• Wide angle projection
• Does not preserve subjective size
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Perspective distortion• Wide angle projection
• Does not preserve subjective size
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Perspective distortion• Wide angle projection
• Distorts shape
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Perspective distortion• Portrait: distortion with wide angle
Wide angle Standard Telephoto
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Perspective distortion• The sphere is projected
as an ellipse
• Symmetry is not preserved
• Some perspective manuals claim that the projection of a sphereis a circle
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Perspective distortion• The sphere should be projected as an ellipse
• But a circle is used
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Classification of drawing systems• Linear
– Parallel
– Linear perspective
– Divergent perspective
• Non Linear– Quasi linear
– Curved projections
– Topological– Split views, fold-out
– Multiple viewpoints
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Divergent perspective• A.k.a. inverted perspective
• Subject of quarrel, hard to include in a theory
• Icons
• Asian
• Cubism
• Children
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Divergent perspective: explanations• Does not exist!
• Lack of skill
• Represents more faces
• Fear of idolatry
• Perceptual over-compensation
• Perceptual effect of field of view and size constancy
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Divergent perspective• The Four Gospels,
Luke, 1380, Byzantine
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Divergent perspective• Mark,
15th century, Byzantine
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Divergent perspective• Andrei Rublev,
The Holy Trinity,1408~1425
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Divergent perspective• Hasadera Enji (Japanese)
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Divergent perspective• Georges Braque, Still Life: The Table, 1928
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Divergent perspective• David Hockney, Chair
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Divergent perspective• Child drawing
(Kenyan here)
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Evolution of children’s drawings• Asked to draw a table
Child’s view
7.4 9.7
11.9 13.6
14.3 13.7
Class of drawing & average age